A027358 Number of partitions of n into distinct odd parts, the greatest being congruent to 3 mod 4.

0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 3, 3, 1, 2, 4, 4, 3, 3, 6, 6, 4, 6, 9, 9, 7, 8, 12, 12, 10, 12, 17, 18, 15, 17, 23, 24, 21, 25, 32, 33, 31, 34, 43, 45, 42, 48, 58, 61, 58, 64, 77, 80, 78, 87, 102, 107, 106, 115, 134, 141, 139, 153, 175

Offset: 1

Author

Clark Kimberling

Keywords

• nonn

Comments

Also number of self-conjugate partitions of n into an even number of parts. - Vladeta Jovovic, Feb 18 2004

Crossrefs

Cf. A027356, A027357.

Cf. A000700, A053250.

Formula

a(n) = (A000700(n)+(-1)^n*A053250(n))/2. - Vladeta Jovovic, Mar 12 2006

a(n) + A027357(n) = A000700(n). - R. J. Mathar, Oct 03 2016

a(n) = Sum_{k=0..floor(n/4)-1} A027356(n, 4*k+3). - Sean A. Irvine, Oct 28 2019